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Finding the Third Proportional to 24,065 and 38,771

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Solution

The third proportional to 24,065 and 38,771 is: 62,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065 : 38,771 = 38,771 : x
  2. Step 2: Convert to fraction form
    24,065/38,771 = 38,771/x
  3. Step 3: Cross multiply
    24,065x = 38,771 × 38,771
  4. Step 4: Simplify right side
    24,065x = 1,503,190,441
  5. Step 5: Solve for x
    x = 1,503,190,441/24,065
  6. Step 6: Final answer
    x = 62,463.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.